How Does Electric Force Affect Acceleration in Charged Objects?

In summary, the conversation discusses a homework question involving a charged rod and stirrer. The question asks for the calculation of electric force and acceleration on the stirrer. The equations used are E=Q/4piε r√r^2+(l/2)^2 and F=qE=ma. A suggestion is made to use a trig substitution for r and the reason behind this is discussed. The final solution is not posted due to the information being left at school.
  • #1
HaLAA
85
0

Homework Statement


Question: There is a fixed 55 cm long rod (vertical) that is charged uniformly up to +137 nC, Place a 0.5 g plastic 6 cm long stirrer (horizontal) that is charge to +93 nC, 2.3 cm away from the rod

Calculate the Electric force and acceleration on the stirrer .

Homework Equations


E=Q/4piε r√r^2+(l/2)^2
F=qE=ma

The Attempt at a Solution


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  • #2
I guess you meant 'finite line', not infinite.
Try a trig substitution for r. What is suggested by the r2+constant part?
 
  • #3
haruspex said:
I guess you meant 'finite line', not infinite.
Try a trig substitution for r. What is suggested by the r2+constant part?
Let r =sqrt (l/2) tantheta?
 
  • #4
HaLAA said:
Let r =sqrt (l/2) tantheta?
Looks good.
 
  • #5
haruspex said:
Looks good.
Is that reasonable to get a=0.003m/s^2 ?
 
  • #6
HaLAA said:
Is that reasonable to get a=0.003m/s^2 ?
Not sure. Please post what you get algebraically for the solution to the integral.
 
  • #7
haruspex said:
Not sure. Please post what you get algebraically for the solution to the integral.
Sorry, I left it at school
 

1. What is acceleration of a stirrer?

The acceleration of a stirrer is the rate of change of the stirrer's velocity over time. In other words, it measures how quickly the stirrer is speeding up or slowing down.

2. Why is acceleration of a stirrer important?

Acceleration of a stirrer is important because it affects the mixing process. A faster acceleration can result in a more efficient and thorough mixing of ingredients, while a slower acceleration may result in uneven mixing.

3. How is acceleration of a stirrer measured?

Acceleration of a stirrer can be measured using a variety of methods, such as using a tachometer to measure the rotational speed of the stirrer or using a force sensor to measure the force exerted by the stirrer on the liquid.

4. What factors can affect the acceleration of a stirrer?

The acceleration of a stirrer can be affected by various factors, including the size and shape of the stir bar, the viscosity of the liquid being stirred, and the speed and power of the stirrer motor.

5. How can the acceleration of a stirrer be optimized?

The acceleration of a stirrer can be optimized by adjusting the speed and power of the stirrer motor, using an appropriately sized and shaped stir bar, and choosing a suitable viscosity for the liquid being stirred.

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